# Solve by Addition/Elimination 3x+2y=8 x+5y=7

Multiply each equation by the value that makes the coefficients of opposite.
Simplify.
Simplify .
Apply the distributive property.
Multiply by .
Multiply by .
Add the two equations together to eliminate from the system.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Divide by .
Substitute the value found for into one of the original equations, then solve for .
Substitute the value found for into one of the original equations to solve for .
Multiply by .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Divide by .
The solution to the independent system of equations can be represented as a point.
The result can be shown in multiple forms.
Point Form:
Equation Form: